一类捕食型时滞无线传感器网络病毒传播模型Hopf分岔研究  

Hopf Bifurcation of a Delayed Predator-prey Model for Virus Propagation in Wireless Sensor Network

作　　者：王有刚[1] 杨浩杰 邹俊宸 张子振[1] WANG You-gang;YANG Hao-jie;ZOU Jun-chen;ZHANG Zi-zhen(School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《滨州学院学报》2022年第4期37-41,共5页Journal of Binzhou University

基　　金：国家自然科学基金项目(12001001)。

摘　　要：研究一类捕食型无线传感器网络病毒传播模型。在该模型中,食饵由易感节点和已感染节点组成,捕食者为重度感染节点。对该无线传感网络病毒传播模型的正平衡点进行动力学分析,推导出系统稳定的条件,研究了该模型的稳定性和分岔存在性,并通过数值模拟验证了所得结果。A virus propagation model in predator-prey wireless sensor network is studied.The prey is composed of susceptible nodes and infected nodes,and the predator is a severely infected node.The dynamic analysis of the positive equilibrium point of the virus propagation model in wireless sensor networks is carried out,the conditions of system stability are derived,and the stability and bifurcation existence of the model are studied.Finally,the results are verified by numerical simulation.

关 键 词：捕食型模型 HOPF分岔 时滞 网络病毒 无线传感器网络 

分 类 号：O175[理学—数学] TP309[理学—基础数学]